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Finding the Fourth Proportional to 326,942.34, 490,492.56 and 113,679.48

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Solution

The fourth proportional to 326,942.34, 490,492.56 and 113,679.48 is: 170,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,942.34 : 490,492.56 = 113,679.48 : x
  2. Step 2: Convert to fraction form
    326,942.34/490,492.56 = 113,679.48/x
  3. Step 3: Cross multiply
    326,942.34x = 490,492.56 × 113,679.48
  4. Step 4: Simplify right side
    326,942.34x = 55,758,939,164.67
  5. Step 5: Solve for x
    x = 55,758,939,164.67/326,942.34
  6. Step 6: Final answer
    x = 170,546.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.